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Matchings and phylogenetic trees
This paper applied the functional structural model GreenLab to adult Chinese pine trees (pinus tabulaeformis Carr.).
Consider distributional xed point equations of the form R D= f(Ci;Ri; 1  i  N); where f() is a possibly random real valued function, N 2 f0; 1; 2; 3; : : : g [ f1g, fCigN i=1 are real valued rando...
Let T be a rooted multi-type Galton-Watson (MGW) tree of finitely many types with at least one offspring at each vertex, and an offspring distribution with exponential tails. The lambda-biased random...
We study the conjugacy problem in the automorphism group $Aut(T)$ of a regular rooted tree $T$ and in its subgroup $FAut(T)$ of finite-state automorphisms. We show that under the contracting conditio...
The lattice polynomials $L_{i,j}(x)$ are introduced by Hough and Shapiro as a weighted count of certain lattice paths from the origin to the point $(i,j)$. In particular, $L_{2n, n}(x)$ reduces to th...
We present some advances, both from a theoretical and from a computational point of view, on a quadratic vector equation (QVE) arising in Markovian Binary Trees. Concerning the theoretical advances, ...
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an in nite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...
We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice of size N_1 x N_2 x...x N_d ...

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